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Finding the Fourth Proportional to 23,245.14, 32,071.17 and 13,171.98

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Solution

The fourth proportional to 23,245.14, 32,071.17 and 13,171.98 is: 18,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245.14 : 32,071.17 = 13,171.98 : x
  2. Step 2: Convert to fraction form
    23,245.14/32,071.17 = 13,171.98/x
  3. Step 3: Cross multiply
    23,245.14x = 32,071.17 × 13,171.98
  4. Step 4: Simplify right side
    23,245.14x = 422,440,809.82
  5. Step 5: Solve for x
    x = 422,440,809.82/23,245.14
  6. Step 6: Final answer
    x = 18,173.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.